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- W2079994716 abstract "The mixing of substates of an isolated Rydberg manifold (constant n,m) is studied using time-evolution matrices U(t,t0). Coherent mixing is effected by a linearly ramped electric field, F(t)=Fifmmode dot{}else .{}fi{}t. The spherical l basis, diabatic (hydrogenic) p basis, and adiabatic (nonhydrogenic) q basis are considered. In the linear Stark regime, the diabatic levels are coupled by F(t) through the atomic core, parametrized by quantum defects. The resulting adiabatic levels EqF in this model group into a submanifold degenerate at F=0 plus shifted levels split off from the adiabatic manifold. Analytical expressions for the q levels Eqensuremath{tau} and their coupling ensuremath{Gamma}qqensuremath{'}ensuremath{tau} are derived as a function of rescaled field or time ensuremath{tau}. The time evolution of the levels' populations is studied first for the two-level case---the usual Landau-Zener effect (LZE)---which is generalized to a multilevel Landau-Zener effect (MLZE) for any n manifold. The matrices U(t,t0) are constructed in the Riemann product representation, including Magnus corrections up to fourth order. The probability Pqensuremath{rightarrow}qensuremath{'}(Vl) of making a transition from state q to qensuremath{'} upon a one-way pass across the manifold depends on a single parameter Vl=[2ensuremath{mu}l2/(3Fifmmode dot{}else .{}fi{}n9)]1/2 (when one ensuremath{mu}lensuremath{ne}0). Numerical results for l=m=0 indicate that either diabatic (pensuremath{rightarrow}pensuremath{'}=p) or adiabatic (qensuremath{rightarrow}qensuremath{'}=q) transitions always predominate, no matter what the ramp rate Fifmmode dot{}else .{}fi{}. Strong evidence supports the conjecture that outer diabatic transitions between edge states of a manifold obey Pndiab(V)=exp(-ensuremath{beta}nensuremath{pi}V2) for l=m=0, with ensuremath{beta}n=1 for n=2 (the LZE) and ensuremath{beta}nensuremath{approx}lnn for nensuremath{gg}2 (the MLZE), and that a similar analytical result holds for arbitrary {ensuremath{mu}l} and m." @default.
- W2079994716 created "2016-06-24" @default.
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- W2079994716 date "1991-07-01" @default.
- W2079994716 modified "2023-09-26" @default.
- W2079994716 title "Intramanifold level mixing by time-dependent electric fields: Multilevel Landau-Zener effect" @default.
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- W2079994716 doi "https://doi.org/10.1103/physreva.44.433" @default.
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